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225234240 = 26357112277
BaseRepresentation
bin11010110110011…
…00110101000000
3120200211002021220
431123030311000
5430124443430
634203315040
75403313410
oct1533146500
9520732256
10225234240
11106158900
126351ba80
1337880cca
1421cb0640
1514b91110
hexd6ccd40

225234240 has 336 divisors, whose sum is σ = 901574016. Its totient is φ = 46632960.

The previous prime is 225234209. The next prime is 225234253. The reversal of 225234240 is 42432522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 225234240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812982 + ... + 813258.

It is an arithmetic number, because the mean of its divisors is an integer number (2683256).

Almost surely, 2225234240 is an apocalyptic number.

225234240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450787008).

225234240 is an abundant number, since it is smaller than the sum of its proper divisors (676339776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225234240 is a wasteful number, since it uses less digits than its factorization.

225234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 225234240 is about 15007.8059688950. The cubic root of 225234240 is about 608.4311922804.

Adding to 225234240 its reverse (42432522), we get a palindrome (267666762).

The spelling of 225234240 in words is "two hundred twenty-five million, two hundred thirty-four thousand, two hundred forty".